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14270378040 = 2333571186103
BaseRepresentation
bin11010100101001010…
…01011000000111000
31100211112020022112000
431102211023000320
5213211204044130
610320011421000
71013430132462
oct152245130070
940745208460
1014270378040
116063290266
122923154760
131465637a99
14995379132
15587c40260
hex35294b038

14270378040 has 128 divisors (see below), whose sum is σ = 48238156800. Its totient is φ = 3751816320.

The previous prime is 14270378027. The next prime is 14270378047. The reversal of 14270378040 is 4087307241.

It is a happy number.

14270378040 is a `hidden beast` number, since 14 + 270 + 378 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14270377986 and 14270378004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14270378047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16372 + ... + 169731.

It is an arithmetic number, because the mean of its divisors is an integer number (376860600).

Almost surely, 214270378040 is an apocalyptic number.

14270378040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14270378040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24119078400).

14270378040 is an abundant number, since it is smaller than the sum of its proper divisors (33967778760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14270378040 is a wasteful number, since it uses less digits than its factorization.

14270378040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186194 (or 186184 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 14270378040 in words is "fourteen billion, two hundred seventy million, three hundred seventy-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 71 72 90 108 120 135 142 180 213 216 270 284 355 360 426 540 568 639 710 852 1065 1080 1278 1420 1704 1917 2130 2556 2840 3195 3834 4260 5112 6390 7668 8520 9585 12780 15336 19170 25560 38340 76680 186103 372206 558309 744412 930515 1116618 1488824 1674927 1861030 2233236 2791545 3349854 3722060 4466472 5024781 5583090 6699708 7444120 8374635 10049562 11166180 13213313 13399416 16749270 20099124 22332360 25123905 26426626 33498540 39639939 40198248 50247810 52853252 66066565 66997080 79279878 100495620 105706504 118919817 132133130 158559756 198199695 200991240 237839634 264266260 317119512 356759451 396399390 475679268 528532520 594599085 713518902 792798780 951358536 1189198170 1427037804 1585597560 1783797255 2378396340 2854075608 3567594510 4756792680 7135189020 14270378040